Combined matrices and conditioning

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Date
2021-08-12
Authors
Máximo Santana
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Abstract
In this work, we study a lower bound of the condition number of a matrix by its combined matrix. In particular, we construct a special combined matrix in such a way that the sums of its columns are lower bounds of the condition number of the matrix. Cases for special matrices as unitary matrices are considered.
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Bru, R., Gassó, M. T., & Santana, M. (2022). Combined matrices and conditioning. Applied Mathematics and Computation, 412, 126549.